How do I write 32.15 in unit form

Answer:

Width = 7 units

Step-by-step explanation:

Width = x

Length = 3x + 1

2x + 2(3x+1) = 58

2x + 6x + 2 = 58

8x = 58-2

x = 56/8

x = 7

Answer:

the answer is x= 10

Step-by-step explanation:

The assessed value of the property with a market value of $60,000 and an assessment rate of 45% is $27,000. T

To compute the assessed value of a property, you'll need to consider both the market value and the assessment rate. In this case, the market value is $60,000, and the assessment rate is 45%.

To find the assessed value, you can multiply the market value by the assessment rate. Using the provided values, you can calculate the assessed value as follows:

Assessed Value = Market Value x Assessment Rate
Assessed Value = $60,000 x 0.45

Assessed Value = $27,000

In this case, the assessed value of the property with a market value of $60,000 and an assessment rate of 45% is $27,000. This value represents the taxable amount on which property taxes will be calculated and is an essential factor for both property owners and tax authorities.

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Answer:

Step-by-step explanation:

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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Answer:

x= -1

Step-by-step explanation:

Hope this helped. <3

Answer:

X=-4

Step-by-step explanation:

3x-8=2X(x-6)

3x-8=2x-12

3x-2x=-12+8

x=-4

The probability of the sum of the dots indicated greater than 5 is 13/18.

Since there are six different combinations of dots on each die, there are 36 different ways the two dice can be added together. 6*6=36

These are the values of the two die added upto greater than 5:

(1,5), (1,6), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

So, 26 out of the 36 possible sums are greater than 5, so the probability of the sum of dots being greater than 5 is 26/36 = 13/18.

So, our final answer is 13/18.

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The justifications for 2 and 3 are;

Addition property of equality and

Multiplication property of equality

1. x/2 - 9 = -4 given

Add 9 to both sides

2. x/2 = -13 (Addition property of equality)

cross product

3.x = -26 (Multiplication property of equality)

Therefore, x/2 - 9 = -4 where x Is -26 is justified by addition and multiplication property of equality.

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Answer:

4 km

Step-by-step explanation:

You found the hypotenuse correctly.

The questions asks what is the difference between the distance in the usual route, which is 12 km + 5 km = 17 km

and the new route, which is 13 km

17 -13 = 4 km

Answer: 4, 8, 7, 9, 0, 3, 4, 1, 6, 27

Step-by-step explanation:

The expected operational time of the machine is 6.75

For given x , y > 0 , the lifetime of the machine is max{x , y} because it stops when the two component will fail.

The life expectancy if therefore the expectancy of max{x, y}

t = E [ max{x,y} ]

So, the max{x , y} can be x or y

We have three integral

I₁ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{18-x}_{x} y \. dy\)

Solving the integration

=> I₁ =  729 / 162

=> 4.5

I₂ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{x}_{0} y \. dy\)

=> I₂ = 121.5/162

=> 0.75

=> I₃ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{18-x}_{x} x \. dy\)

=> I₃ = 243 / 162

=>  1.5

So . the total is 4.5 + 0.75 + 1.5

=>  6.75 is expected operational time

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Answer:

answer is D

Step-by-step explanation:

...........

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer: all of them are x,y

Step-by-step explanation:

Given the figure of cone

The vertical cross section will be a triangle

Base of the triangle = b = 12 cm

Height of the triangle = h = 32 cm

Area = A

The expression that eliminates the variable x is 70x + 8y = 126.

To eliminate the variable x from equations A and B, we need to find an expression or operation that will result in x being canceled out or eliminated when the equations are combined.

determining the expression that will eliminate the variable x.

Given the two equations A and B as follows:

\(A = 5x + 4y = 8\)

and \(B = 7x - 4y = 14,\)

the expression that will eliminate the variable x is as follows:

Multiply equation A by 7 and equation B by 5,

that is, 7(5x + 4y = 8)

= 35x + 28y

= 56

and 5(7x - 4y = 14)

= 35x - 20y

= 70.

Add the two resulting equations to eliminate the variable x as shown below:35x + 28y

= 56+ 35x - 20y

= 70---------------------70x + 8y

= 126

Hence, the expression that eliminates the variable x is 70x + 8y = 126.

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Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer:

y = .75x + .25

Step-by-step explanation:

I graphed it and expiramrntec with different slopes

To find q(z) and r(a) such that f(x) = g(x)g(x) + r(r), we need to factorize g(x) into its irreducible factors and divide f(x) by g(x).

The quotient q(z) will be the result of the division, and the remainder r(a) will be the remaining terms that cannot be divided evenly. We also need to ensure that r(a) is either 0 or has a degree less than the degree of g(x).

Given the functions f(x) = x+2+³+x+(3) and g(x) = x + ³+ [2]x² + [2] € Zs[r], we want to find q(z) and r(a) such that f(x) = g(x)g(x) + r(r).

First, we factorize g(x) into its irreducible factors. Without the explicit form of g(x), we cannot determine its factorization.

Next, we divide f(x) by g(x). The quotient q(z) will be the result of the division, and the remainder r(a) will be the terms that cannot be divided evenly.

To ensure that r(a) has either a degree of 0 or a degree less than the degree of g(x), we need to compare the degrees of r(a) and g(x).

Unfortunately, the given information does not provide sufficient details to determine the specific values of q(z) and r(a). Without the explicit form of g(x) and further information, we cannot proceed with the calculations.

Therefore, without additional information, we cannot provide a specific answer for q(z) and r(a) in this case.

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The answer is that the values of a and b cannot be determined.

Given, x = {3,1,2} and y = {52,1}.

We need to find the value of a and b such that the correlation coefficient between x and y is -0.65.

Now, we know that the formula for the correlation coefficient is given by:

r = (n∑xy - ∑x∑y) / sqrt( [n∑x² - (∑x)²][n∑y² - (∑y)²])

Where, n = a number of observations; ∑xy = sum of the product of corresponding values; ∑x = sum of values of x; ∑y = sum of values of y; ∑x² = sum of the square of values of x; ∑y² = sum of the square of values of y.

Now, let's calculate the values of all the sums and plug in the given values in the formula to get the value of the correlation coefficient:

∑x = 3 + 1 + 2

= 6∑y

= 52 + 1

= 53∑x²

= 3² + 1² + 2²

= 14∑y² = 52² + 1²

= 2705∑xy

= (3 × 52) + (1 × 1) + (2 × 1)

= 157S

o, putting the above values in the formula:

r = (n∑xy - ∑x∑y) / sqrt( [n∑x² - (∑x)²][n∑y² - (∑y)²])r

= [(3 × 157) - (6 × 53)] / sqrt( [3 × 14 - 6²][2 × 2705 - 53²])r

= (-139) / sqrt( [-30][-4951])r

= (-139) / 44.585r

≈ -3.12

Since the value of the correlation coefficient is not within the range of -1 to 1, there must be some error in the given data.

The given values are not sufficient to find the values of a and b.

Therefore, the answer is that the values of a and b cannot be determined.

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Answer:

63,360 feet

Step-by-step explanation:

1 mile = 5280 ft

* 12        *12           (multiply 12 to both sides)

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

12 miles = 63,360 ft

Answer: (I worked left-right instead of column 1, then column 2. That's why the answers are jumbled up. 2 on my work corresponds to 4 in the pic, 3 corresponds to 2, 4 corresponds to 5, and 5 corresponds to 3.)

1. 75 degrees

2. 112 degrees

3. 89 degrees

4. x is 8, so 111 degrees

5. x is 3 in both cases, so 90 degrees each

6. x is -7, so 130 degrees

Step-by-step explanation:

1. Adjacent angles are the same measurement. Since the one labeled is 75 degrees, and the question marked angle is adjacent, it is also 75 degrees.

2. The angles shown are complementary, so they both equal 180 degrees. To find the angle marked with "?", subtract 68 from 180 for 112 degrees.

3. The angle labeled is 89 degrees. The one labeled with "?" should be the same, as it is below it, and on the same point as the labeled one. So, 89 degrees is the measurement.

4. The labeled angle is 69 degrees. 180 - 69 is 111 degrees. The equation shown now becomes 12x + 15 = 111. 111 - 15 is 96, which means 12x = 96. Divide both sides by 12 to get x equalling 8.

5. These lines are all perpendicular, so they're all 90 degrees. 29x + 3 = 90, and 31x - 3 = 90 are the new equations. I will attempt x as 3, to see if it's a true value. 29(3) is 87, and 87 + 3 is 90, so 3 is true there. 31(3) is 93, and 93 - 3 is also 90. So x is 3 in both cases

6. We already know one of the angles is 50 degrees. These are complementary, so subtract 50 from 180 to get 130 degrees. So, the equation is x + 137 = 130, which then becomes, 137 + -x = 130. 137 minus 30 is 7, so x is -7.

Answer:

1.) 75°

2.) 89°

3.) 90°  x = 3

4.) 112°

5.) 111°   x = 8

6.) 130°  x = -7

Step-by-step explanation:

1.) They are vertical so they measure the same

2.) They are corresponding angles so they equal the same

3.) They should equal up to 180.

29x + 3 = 31x - 3 (subtract 29x on both sides)

3 = 2x - 3 (add 3 on both sides)

6 = 2x (divide by 2 on both sides)

3 = x Plug in. 29(3) + 3 = 90 Both angles equal 90 degrees

4.) They should equal up to 180. 180 - 68 = 112

5.) They should equal up to 180. They are same side interior angles.                                                                             69 + 12x + 15 = 180 (collect like terms)

84 + 12x = 180 (subtract 84 on both sides)

12x = 96 (divide by 12 on both sides)

x = 8 Plug in 12(8) + 15 = 111 degrees

6.) They should equal up to 180.

x + 137 + 50 = 180 (collect like terms)

x + 187 = 180 (subtract 187 on both sides)

x = -7 Plug in -7 + 137 + 50 = 180 (collect like terms) 180= 180

Hope this helps ya!

Answer:

Please find attached the graph of the following function;

\(\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.\)

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Since the sprinkler jet is a sector, the angle of the sector is Ф ≅ 69.83°

The angle of a sector is the angle subtended by the sector.

Since the sprinkler jet sprays in a sector in a sector of radius four feet and has an area of 9.5 square feet, to find its angle, we use the formula for the area of a sector.

The area of a sector, A is given by

A = Ф/360° × πr² where

Making Ф subject of the formula, we have that

Ф = 360°A/πr²

Since we are given that

Substituting the values of the variables into the equation, we have that

Ф = 360°A/πr²

Ф = 360° × 9.75 ft²/π(4 ft)²

Ф = 360° × 9.75 ft²/π(16 ft²)

Ф = 3510° ft²/π(16 ft²)

Ф = 219.375° /π

Ф = 69.829°

Ф ≅ 69.83°

So, the angle is Ф ≅ 69.83°

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The 2 x 3 matrix of probabilities p(x = 1, Y = j) is:

p(x = 1, Y = 1) = 0.2

p(x = 1, Y = 2) = 0.2

p(x = 1, Y = 3) = 0.1

To determine the probabilities p(x = 1, Y = j), we need to consider the probabilities associated with X and Y. We are given that X can take on values 1 and 2 with probabilities 0.5 and 0.5, respectively, while Y can take on values 1, 2, and 3 with probabilities 0.4, 0.4, and 0.2, respectively. It is also mentioned that X and Y are independent.

The probability of X = 1 and Y = 1 is the product of their individual probabilities:

p(X = 1, Y = 1) = p(X = 1) * p(Y = 1) = 0.5 * 0.4 = 0.2

Similarly, the probability of X = 1 and Y = 2 is:

p(X = 1, Y = 2) = p(X = 1) * p(Y = 2) = 0.5 * 0.4 = 0.2

The probability of X = 1 and Y = 3 is:

p(X = 1, Y = 3) = p(X = 1) * p(Y = 3) = 0.5 * 0.2 = 0.1

For X = 2, since it is independent of Y, the probabilities p(X = 2, Y = j) will all be 0.

Combining these probabilities, we can construct the 2 x 3 matrix as shown in the main answer.

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Answer:

n=5

Step-by-step explanation:

by using

n=(an-a)/a+1

substituting values

n= 7.2-(-7.2)/3.6 +1

n=5

Answer:

f(x)=(x+5)(x-2)

g(x)=(2x+1)(x-2).

x=10x+2

x=3x-2

x=12×+1

x=13

A function is defined as a relation between a set of inputs having one output each.

The point of intersection between the function f(x) and g(x) is x = 4.

A function is defined as a relation between a set of inputs having one output each.

We have,

f(x) = ( x + 5 ) ( x - 2 )

g(x) = ( 2x + 1 ) ( x - 2 )

To find the points of intersection between the two functions we must equal the function.

f(x) = g(x)

( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )

( x - 2 ) gets canceled

x + 5 = 2x + 1

5 - 1 = 2x - x

4 = x

x = 4

This means that at x =4 the function f(x) and g(x) intersect.

we can see that at x = 4 both the functions have the same value.

f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18

g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )

      = 9 x 2

      = 18

Thus the point of intersection between the function f(x) and g(x) is x = 4.

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