3/4 ÷ 9 =
answer Issssssss

The area henry' rectangular kitchen island top with length 35. 5 inches and width 46. 75 inches is 1659. 625 inch².

The word "area" means an open area. A shape's area is calculated using its length and width. Length is one-dimensional and measured in units such as feet (ft), yards (yd), and inches (in). Area is defined as the total space occupied by a planar (2-D) surface or shape of an object. It is measured in units such as square feet (ft²) and square inches (in²)

Let " l " be length of rectangular island top and "w" be width of it.

We have , l = 35.5 inches , w = 46.75 inches

We have to calculate the area if henry' rectangular kitchen iland top.

let "A" be area of rectangular island top .

As discuss above, Required Area , A = l × w

=> A = 35.5 inches × 46.75 inches

=> A = 1659.625 inch²

Hence, required area is 1659.625 square inches.

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Answer:

\(\sqrt{\frac{9}{2} }\)

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = \(\frac{9}{2}\)

                       y = \(\sqrt{\frac{9}{2} }\)

We know that

• The area is 2 square feet.

• The width is 6 inches.

First, we have to transform 6 inches into feet. We know that 1 foot equals 12 inches. So, we have to divide.

6 inches are equivalent to 0.5 feet.

Now, we use the formula for the area of a rectangle.

Let's replace the area and the width.

Then, we solve for l.

The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Answer:

Laura will need to grade more than 80 in the final exam to earn a B

Step-by-step explanation:

Average Value

The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:

\(\displaystyle \bar x=\frac{\sum x_i}{n}\)

Where xi is the value of each data and n is the total number of values.

Laura has the grades of 70, 86, 81, and 83 in computer applications class. If we call x to the grade on the final exam, then the sum of her grades is:

\(\sum x_i=70+86+81+83+x\)

\(\sum x_i=320+x\)

The average of her grades is:

\(\displaystyle \bar x=\frac{320+x}{5}\)

For Laura to earn a B the average must be greater than or equal to 80 and less than 90. Thus:

\(\boxed{\displaystyle 80\le \frac{320+x}{5} < 90}\)

This is the inequality that must be satisfied. Now we solve it.

Multiply by 5:

\(5*80\le 320+x < 5*90\)

Operating:

\(400\le 320+x < 450\)

Subtracting 320:

\(80\le x < 120\)

Laura will need to grade more than 80 in the final exam to earn a B

Answer: A

Step-by-step explanation:

First, find the compound inequality:

Course average = 70 + 86 + 81 + 83 + x / 5

Solve  the inequality with the given information:

80 ≤ 70 + 86 + 81 + 83 + x / 5 < 90

80 ≤ 320 + x / 5 < 90

80(5) ≤ 320 + x / 5 (5) < 90(5)

400 ≤  320 + x < 450

400-320 ≤  320-320 + x < 450-320

80 ≤ x < 130

Answer:

124.3

Step-by-step explanation:

42.15+20.00=1/2x

62.15=1/2x

62.15*2

124.3 is the total of her paycheck.

42.1<20.00+x

Answer:

its 3 the answer is 3.

Step-by-step explanation:

because I did this before thank you ,its 3.

Answer:

Three fifths

Step-by-step explanation:

Since 10 was divided by 2 to get 5,

you just do the same to the top half of the fraction.

So when you divide 6 by 2, you get 3.

So it is equal to 3/5, or three fifths.

And 3/5 is equivalent to 6/10

Answer:

In 1812, with President Madison in office, Congress declared war against the British. The war began with an attack on Canada, both as an effort to gain land and to cut off British supply lines to Tecumseh's Indian confederation, which had long troubled the US. ... The US troops were badly routed.

Step-by-step explanation:

Answer:

It started when the u.s attacked Canada and then the British came and burnt the white house.

Step-by-step explanation:

good luck

Answer:

3.1415926535 8979323846

Step-by-step explanation:

To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

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(a) The total degree of freedom of the experiment is 14.

(b) The total degree of freedom of the experiment is 4.

If two data points were collected at each combination of the factors, the total degrees of freedom of the experiment is given by the formula: (n-1)Total degrees of freedom = (k1 - 1) + (k2 - 1) + [(k1 - 1) × (k2 - 1)]

Where n is the number of data points collected at each combination of factors, k1 is the number of levels of the first factor, and k2 is the number of levels of the second factor.

a) In this problem, there are 3 levels for the first factor and 4 levels for the second factor.

Therefore, using the formula above, the total degrees of freedom of the experiment can be calculated as follows:

(2-1)(3-1)+[ (4-1)(3-1)] = 2(2) + 6(2) = 4 + 12 = 16 degrees of freedom.

However, since two data points were collected at each combination of the factors, 2 degrees of freedom should be subtracted from the total degrees of freedom.

Hence, the final answer is: Total degrees of freedom = 16 - 2 = 14 degrees of freedom.

b)In this problem, there are 2 levels for the first factor and 5 levels for the second factor. Therefore, using the formula given above, the total degrees of freedom of the experiment can be calculated as follows:

(3-1)(2-1)+[ (5-1)(2-1)] = 2 + 4(1) = 6 degrees of freedom.

However, since two data points were collected at each combination of the factors, 2 degrees of freedom should be subtracted from the total degrees of freedom. Hence, the final answer is:

Total degrees of freedom = 6 - 2 = 4 degrees of freedom.

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(a) The total degree of freedom of the experiment is 14.

(b) The total degree of freedom of the experiment is 4.

Given that,

a) The first factor has 3 levels, while the second factor has 4 levels.

b)  The first factor has 2 levels, while the second factor has 5 levels.

We know that,

When two data points were collected at each combination of the factors, the total degrees of freedom of the experiment is, (n-1)

Total degrees of freedom = (k₁ - 1) + (k₂ - 1) + [(k₁ - 1) × (k₂ - 1)]

Where n is the number of data points collected at each combination of factors, k₁ is the number of levels of the first factor, and k₂ is the number of levels of the second factor.

a) Since, there are 3 levels for the first factor and 4 levels for the second factor.

Therefore, the total degrees of freedom of the experiment can be calculated as follows:

(2 - 1)(3 - 1) +[ (4-1)(3-1)]

= 2(2) + 6(2)

= 4 + 12

= 16 degrees of freedom.

However, since two data points were collected at each combination of the factors, 2 degrees of freedom should be subtracted from the total degrees of freedom.

Hence, the final answer is:

Total degrees of freedom = 16 - 2

                                       = 14 degrees of freedom.

b) Since, there are 2 levels for the first factor and 5 levels for the second factor.

Therefore, the total degrees of freedom of the experiment can be calculated as follows:

(3-1)(2-1)+[ (5-1)(2-1)]

= 2 + 4(1)

= 6 degrees of freedom.

However, since two data points were collected at each combination of the factors, 2 degrees of freedom should be subtracted from the total degrees of freedom. Hence, the final answer is:

Total degrees of freedom = 6 - 2

                                        = 4 degrees of freedom.

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Answer:

100 but I'm not sure if that is what you want.

Step-by-step explanation:

2 * 38 + 24

76 + 24

100

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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Since triangle DEF is a scale drawing of triangle ABC, the scale factor used is equal to 1/3.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Mathematically, the scale factor of a geometric object such as a triangle can be calculated by using this formula:

Scale factor = Dimension of image/Dimension of original figure

Substituting the given parameters into the formula, we have the following;

Scale factor = 3/9

Scale factor = 1/3.

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Answer:

\(9 + n\)

Step-by-step explanation:

Well it's an arythmetic sequence, so it will look like:

\(a + d\cdot n\)

Note that the first element is:

\(a + d\cdot 1\)

and the second element is:

\(a + d \cdot 2\)

So the difference between the two gives us d!

\(d = 11 - 10 = 1\)

Now let's find the \(a\):

\(a + d\cdot 1 = 10\\a + 1 \cdot 1 = 10\\a + 1 = 10\\a = 9\)

The probabilities are

a) P(A∣B) = 0.50

b) P(A∪B) = 0.64

c) P(A'∪B') = 0.36

a. P(A∣B) can be calculated using the formula:

P(A∣B) = P(A∩B) / P(B)

Given that P(A∩B) = 0.13 and P(B) = 0.26, we can substitute these values into the formula:

P(A∣B) = 0.13 / 0.26 = 0.50

Therefore, P(A∣B) is equal to 0.50.

b. P(A∪B) can be calculated using the formula:

P(A∪B) = P(A) + P(B) - P(A∩B)

Given that P(A) = 0.51, P(B) = 0.26, and P(A∩B) = 0.13, we can substitute these values into the formula:

P(A∪B) = 0.51 + 0.26 - 0.13 = 0.64

Therefore, P(A∪B) is equal to 0.64.

c. P(A'∪B') represents the probability that neither A nor B occurs. This can be calculated using the formula:

P(A'∪B') = 1 - P(A∪B)

Given that P(A∪B) = 0.64, we can substitute this value into the formula:

P(A'∪B') = 1 - 0.64 = 0.36

Therefore, P(A'∪B') is equal to 0.36.

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Answer:

200 total tickets

Step-by-step explanation:

10% = 20

10% x 10 = 100%, so 20 x 10 = 200 total tickets

The displacement of the compressor is 628 cubic centimeters. Other factors that affect the performance of a compressor include its operating pressure, flow rate, efficiency, and power consumption.

To find the displacement of the compressor, we need to use the formula:
Displacement = (pi/4) x bore^2 x stroke
Here, the bore is 8 centimeters and the stroke is 10 centimeters. So, substituting these values in the formula, we get:
Displacement = (pi/4) x 8^2 x 10
Displacement = (3.14/4) x 64 x 10
Displacement = 628.32 cubic centimeters

A compressor is a mechanical device that is used to increase the pressure of a gas or air by reducing its volume. It works by compressing the gas or air in a cylinder and then transferring it to a storage tank or other equipment. The displacement of a compressor is a measure of the volume of gas or air that is displaced or compressed during one complete cycle of the compressor. Therefore, the displacement of the compressor is 628 cubic centimeters. This means that during one complete cycle of the compressor, it displaces or compresses 628 cubic centimeters of gas or air. The displacement is an important parameter of a compressor, as it determines its capacity or the amount of gas or air that it can compress in a given time.

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The displacement of the compressor is 160π cubic centimeters.

To find the displacement of the compressor, we first need to understand what displacement means. Displacement is the change in position of an object in a specific direction. In this case, the compressor has a bore of 8 centimeters and a stroke of 10 centimeters. The displacement of the compressor can be calculated as the product of the bore area (πr^2) and the stroke length.

Displacement = π(4^2) * 10 = 16π * 10 = 160π cubic centimeters.

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8 is the measure if the angle x in the given diagram.

The point where two lines meet is known as an angle. The given diagram is a circle geometry.

Using the theorem, angle at the arc is twice the angle at the vertex, we will have:

80 = 2(4x + 8)

80/2 = 8x + 8

40 = 4x + 8

4x = 40 - 8

4x = 32

x = 32/4

x = 8

Hence the value of x from the diagram given is 8

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The equation of the quadratic function is f(x) = (x + 5)² - 2

A quadratic function is a second-degree polynomial function of one variable, which can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

From the question, we have the table of values which represents a quadratic function f(x).

A quadratic equation is represented as

f(x) = a(x - h)² + k

Where, Vertex = (h, k)

If we plot the graph according to the given table, the vertex will be,

(h, k) = (-5, -2)

Substitute, (h, k) = (-5, -2) in f(x) = a(x - h)² + k

So, we have, f(x) = a(x + 5)² - 2

Also, from the graph, we have the point (0, 23)

This means that

a(0 + 5)² - 2 = 23

25a = 25

a = 1

Substitute a = 1 in f(x) = a(x + 5)² - 2

f(x) = (x + 5)² - 2

Hence, the equation is f(x) = (x + 5)² - 2

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a) The amplitude of the function is 4 feet.

b) The function that represents the situation is .

a) The amplitude (A), in feet, is equal to the difference between highest and lowest point (\(\left(y_{\max }, y_{\min }\right.\)), in feet, divided by 2. The period (T), in seconds, is the time taken by the bottle to complete one cycle. In this case, the period is the time between two maxima. Hence, we proceed to determine each variable:

Amplitude \(\left(y_{\max }=14 \mathrm{ft}, y_{\min }=6 \mathrm{ft}\right)\)

\(\begin{array}{l}A=\frac{14 f t-6 f t}{2} \\A=4 f t\end{array}\)

The amplitude of the function is 4 feet.

Period

The period of the function is 20 seconds.

b) The function that represents the situation is based on this model:

\(y(t)=y_{o}+A \cdot \sin \frac{2 \pi \cdot t}{T}\)  ........(1)

Where:

\(y_{o}\)- Average height of the bottle, in feet.

\(t\) - Time, in seconds.

\(y(t)\) - Current height, in feet.

If we know that \(A=4 \mathrm{ft}, y_{o}=10 \mathrm{ft} \text { and } T=20 \mathrm{~s}\) then the function that represents the situation is:

\(y(t)=10+4 \cdot \sin \frac{\pi \cdot t}{10}\) ......(2)

The function that represents the situation is \(y(t)=10+4 \cdot \sin \frac{\pi \cdot t}{10}\).

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SteSteAnswerAnswer:

x = 3/4 and -2

Step-by-step explanation:

If x²+ 5/4x = 3/2, x²+ 5/4x - 3/2 = 0

Multiply by 4 to get 4x²+ 5x - 6 = 0

Factor it to get (4x - 3)(x + 2) = 0

anything times 0 = 0, so x = 3/4 and -2

The limit as →[infinity] for f(x) is approximately 1.10.

The given function is: f(x) = −(√2) x + √2x² + 4- 4

To find the limit as x → ∞ for f(x), we can evaluate the function at increasing values of x and observe the trend.

We will use a calculator to evaluate f(x) at values of x starting from 1000 and increasing by 1000 each time until we see that the values are approaching a fixed number accurate to at least two decimal places. f(1000) = −(√2)(1000) + √2(1000)² + 4 - 4 ≈ 1.0995f(2000) = −(√2)(2000) + √2(2000)² + 4 - 4 ≈ 1.1005f(3000) = −(√2)(3000) + √2(3000)² + 4 - 4 ≈ 1.1007f(4000) = −(√2)(4000) + √2(4000)² + 4 - 4 ≈ 1.1008

We can see that the values are increasing and appear to be approaching a limit. The values are accurate to at least two decimal places when we reach f(4000), which is approximately 1.1008.

Therefore, we can say that the limit of f(x) as x → ∞ is approximately 1.10 (accurate to at least two decimal places).

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Answer:

2, 4

Step-by-step explanation:

In 2, (2,2) has the same number on both sides, same with (4,4) and (6,6).

Therefore, it is equivalent.

In 4, dividing the first number by the second always results in 4. (4/1=4, 8/2=4, 12/3=4).

Therefore, it works.

The pattern used in 4 is how ratios work. Multiplying/dividing to get one consistent number.

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

The slope of the given line is 5/2.

The general linear equation can be written in the slope-intercept form as:

y = a*x + b

where a is the slope.

Here we have the equation:

y - 4 = (5/2)*(x - 2)

If we isolate y and expand the product in the right, we get:

y =  (5/2)*(x - 2) + 4

y = (5/2)*x - (5/2)*2 + 4

y = (5/2)*x - 5 + 4

y = (5/2)*x - 1

This is the linear equation in the slope-intercept form, as you can see, the slope is equal to 5/2.

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The balance in the bank account after 5 years would be approximately $4,636.97.

The formula for the balance B in a bank account t years after $4,000 was deposited at 3% interest compounded annually can be calculated using the formula for compound interest: B = P(1 + r)^t, where P is the principal amount (initial deposit), r is the interest rate, and t is the number of years. In this case, the principal amount is $4,000, the interest rate is 3% (or 0.03), and t represents the number of years.

To find the formula for the balance B, we use the formula for compound interest: B = P(1 + r)^t. Plugging in the given values, we have B = $4,000(1 + 0.03)^t. Simplifying further, the formula for the balance becomes B = $4,000(1.03)^t.

To find the balance after 5 years, we substitute t = 5 into the formula: B = $4,000(1.03)^5. Using a calculator to evaluate the expression, we find that B ≈ $4,636.97. Therefore, the balance in the bank account after 5 years would be approximately $4,636.97.

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Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

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