Use the distributive property to remove the parentheses.
9(6-v)

The first thing we need to know is that taking the square root of a negative number will result in needing to apply the following rule:

1. The negative sign will turn into an i. This is placed outside of the square root.

2. This results in the following:

Then, we will multiply this by the square root of 5:

This can be rationalized:

We can take a 5 out of the 15, leaving a 3. This will also cancel the square root of 5.

Therefore, this leaves us with our final answer.

The building in the drawing is 700 centimeters or 7 meters.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Given 3 meters on real is equal to 7 centimeters on drawing

i.e. 3 meters=7 centimeters

or, 1 meter = 7/3 centimeters

We need to find reading for 300 meters so,

or, 300 meters=7/3*300 centimeters

                        =700 centimeters or 7  meters

Therefore the building in the drawing is 700 centimeters or 7 meters.

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Answer:

Make two piece of this figure

Step-by-step explanation:

then use formula of v = l × b × h

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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The value of the mixed fraction 88²/₄ rounded to the nearest whole number is 89.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2¹/₃, where 2 is the quotient and 1 is the remainder

To round 88²/₄ to the nearest whole number, we look at the fraction 2/4, which simplifies to 1/2.

If the numerator of the fraction is less than 1/2, we round down to the nearest whole number. If the numerator is greater than or equal to 1/2, we round up to the nearest whole number.

In this case, the numerator is 2, which is greater than 1/2. Therefore, we round up to the nearest whole number.

88²/₄ rounded to the nearest whole number is 89.

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Answer: -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

3 yards

Step-by-step explanation:

Divide inches by 36

\(108/36\\=3yards\)

Answer:

\(3 \: \: yards\)

Step-by-step explanation:

\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)

So,

\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)

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The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.

In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:

Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)

Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)

Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8

Total sugar consumed = 22/8 + 1/4

Total sugar consumed = (22 + 2)/8

Total sugar consumed = 24/8

Total sugar consumed = 3 units of sugar.

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Maxwell takes time of 60 minutes to pack 8 boxes which is determined by the given rate of proportion.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

We have been given that Maxwell takes 45 minutes to pack 6 boxes.

Let Maxwell takes time of x minutes to pack 8 boxes.

According to the given question, we can write a proportion as

45 minutes : 6 boxes = x minutes : 8 boxes

⇒ 45/ 6 = x / 8

⇒ 7.5 = x / 8

Apply the cross-multiplication operation,

⇒ x = 8 × 7.5

⇒ x = 60

Therefore, Maxwell takes time of 60 minutes to pack 8 boxes.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.

It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Fractions simply means, numbers that are not whole.

If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

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Answer:

When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Step-by-step explanation:

I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!

The exponential growth formula is 3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet is  63.16 years.

The exponential growth formula usually has this form:

FV = P (1 + r)^n

3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet  = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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\((\stackrel{x_1}{7}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{- 6}(x-\stackrel{x_1}{7})\)

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Step-by-step explanation:

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Answer:

b)f(n)=4n+16

Step-by-step explanation:

if n=1

substitute 1 for n in the equation

f(1)=4(1)+16

=4+16

=20

f(2)=4(2)+16

=8+16

=24

And so on

Answer:

3x+20y

Step-by-step explanation:

First write down the expression.

5(x + 5y) - {2x – [3x – 3(x – 2y) + y]}

Now, the first thing you would have to do is the first parenthesis

5(x+5y)

5x+25y

So far, the expression looks like this: 5x+25y - {2x – [3x – 3(x – 2y) + y]}

No we would do the smallest parenthesis in the expression.

Which is: (x – 2y)

But since there is nothing to simplify, we move on

Next one is  [3x – 3(x – 2y) + y]

We have to do 3(x-2y) first

This is equal to: 3x-6y

So far, the expression looks like this:5x+25y - {2x – [3x – 3x-6y + y]}

The next step is still in the other parenthesis up top

Which is: [3x – 3x-6y + y]

We have to add up the x's and y's

Which is -5y

Our expression now looks like this:5x+25y - 2x-5y

Since we don't have anymore parenthesis, we look for the same letter and add or subtract them.

We have to do 5x-2x=3x

25y-5y=20y

So that means our final answer is :3x+20y

Hope this answer is correct!

If It is, can you give me brainliest, it took me almost 25 minutes to write this down.

Answer:

5 to 15 and 10 to 30

Step-by-step explanation:

Only 5 to 15 and 10 to 30 are equivalent:

\( \frac{5}{15} = \frac{1}{3} \\ \\ \frac{10}{30} = \frac{1}{3} \\ \\ \)

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

2.25 lbs

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

9/2 = 4.5

4.5/2 = 2.25

Answer:

The equation equals 0

Step-by-step explanation:

12 ( 1/3 ) + 5 - 9

4 + 5 - 9

9 - 9

= 0

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

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Note the complete question is

A variable solution for the function is not realistic to have 4.5 owners.

In the given graph x-axis represents the number of owners and the y-axis represents the yearly cost of pets, in hundreds.

It is given that the graph passes through the points (1,15), (3,7), and (10,0).

We need to check whether (4.5, 6) is a realistic solution for the function or not. (4.5,6) point represents

1 showing awareness and acceptance of reality. 2 practical or pragmatic rather than ideal or moral. 3 (of a book, film, etc.) depicting or emphasizing what is real and actual rather than abstract or ideal.

Number of owners = 4.5

the yearly cost of pets = 6

It is realistic that owners spend $600 a year on their pet(s).

A number of owners can not be a fraction value. So, it is not realistic to have 4.5 owners.

Therefore, the correct option is D.

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