It takes half of a yard of ribbon to make a bow. How many bows can be made with 7 yards of ribbon?

Answer:

c

4-7 is four less than 7.

Answer:

C. 7-4

Step-by-step explanation:

You would subtract 4 from 7 and that will give you 7-4.

Hopes this helped :))

Answer:

\(\displaystyle y = \frac{1}{2}sin\:524\pi{x}\)

Step-by-step explanation:

\(\displaystyle \boxed{y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{1048}} \hookrightarrow \frac{\frac{\pi}{2}}{524\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}\)

OR

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}\)

You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = \frac{1}{2}cos\:524\pi{x},\)in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted \(\displaystyle \frac{1}{1048}\:unit\)to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD \(\displaystyle \frac{1}{1048}\:unit,\)which means the C-term will be positive, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{\frac{1}{1048}} = \frac{\frac{\pi}{2}}{524\pi}.\)So, the cosine graph of the sine graph, accourding to the horisontal shift, is \(\displaystyle y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to \(\displaystyle Wavelength\:[Period].\)It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has \(\displaystyle \pi\)in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended one-half unit beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

If x  represent the number of seconds then the function is f(x)=0.5sin(52π(x))

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that the middle C key on a piano has a frequency of 262 cycles per second.

Frequency = 262

It has an amplitude of 0.5 unit

Amplitude = 0.5

We have to find the function.

y=Asin(2πf(x))

A is amplitude and f is the function.

y=0.5sin(2π262(x))

y=0.5sin(52π(x))

Hence, if x  represent the number of seconds then the function is f(x)=0.5sin(52π(x))

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Answer:

1) 1/3

2) 45/99

3) 35/99

4) 24/99

5) 39/99

Explanation:

1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3

2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99

3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99

4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99

5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99

Answer:

III

Step-by-step explanation:

At t = 0, x = 1.

At t = 0.5, x = 2.

At t = 1, x = 1.

The curve is symmetrical.

The graph that fits is III.  x starts at 1, increases 2, then decreases at the same rate back to 1.

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 39368, \sigma = 2367\)

What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe?

This is 1 subtracted by the pvalue of Z when X = 44520. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{44520 - 39368}{2367}\)

\(Z = 2.18\)

\(Z = 2.18\) has a pvalue of 0.985

1 - 0.985 = 0.015

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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The number of rolls of paper used per wall will be 1.5 rolls per wall.

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.

Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.

Then the number of rolls of paper used per wall is given as,

⇒ 6 / 4

⇒ 1.5 rolls per wall

The number of rolls of paper used per wall will be 1.5 rolls per wall.

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Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

Answer:

54

Step-by-step explanation:

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

Removing the proportionality sign,

Where:

make K the subject of the equation:

From the question,

Given:

Susbtitute into equation 1

Formula:

Hence the formula of the relation is M = 8AT

If,

Substitute these values into equation 2

Hence,  the mass of the metal sheet is 960 g

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Answer:

The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

Step-by-step explanation:

In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".

So we know that x+y=2000

That's our first equation, our second would be the expense, which would be

8x+16y=20,000

We now just solve for one of them

x=(2000-y)

8(2000-y)+16y=20,000

16,000-8y+16y=20,000

8y=4,000

y=500

So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

Step-by-step explanation:

1.)

#males/#studnets

48/76= 12/19

2.)

#females/#students

28/76= 7/19

3.)

#students who are male and got an A / #students

18/76= 9/38

4.)

#students who got a B and are female / #students

7/76= 7/76

5.)

#students who got a C/ #students

18/76= 9/38

To determine the probabilities, we can use the provided data on grades and gender. Let's calculate each probability step by step:

P(Student was male) = Number of male students / Total number of students

P(Student was male) = 48 / 76

P(Student was male) = 6/19

P(Student was female) = Number of female students / Total number of students

P(Student was female) = 28 / 76

P(Student was female) = 7/19

P(Student was male and got an "A") = Number of male students who got an "A" / Total number of students

P(Student was male and got an "A") = 18 / 76

P(Student was male and got an "A") = 9/38

P(Student was female and got a "B") = Number of female students who got a "B" / Total number of students

P(Student was female and got a "B") = 7 / 76

P(Student was female and got a "B") = 7/76

P(Student got a "C") = Number of students who got a "C" / Total number of students

P(Student got a "C") = 18 / 76

P(Student got a "C") = 9/38

So the probabilities are:

P(Student was male) = 6/19

P(Student was female) = 7/19

P(Student was male and got an "A") = 9/38

P(Student was female and got a "B") = 7/76

P(Student got a "C") = 9/38

Answer:

No, the friend is not correct.

Step-by-step explanation:

The friend is not correct because let's call the three lines line A, line B, and line C. The line intersection says that if two lines intersect, then there will be one point of intersection. Therefore, we have to count all pairs of lines between line A, B, and C. Lines A and B can intersect, lines B and C can intersect, and lines A and C can intersect. Therefore there will be 3 lines of intersection, not 2.

Answer:

Step-by-step explanation:

From the given information;

The present value of series A:\(=\Big[1000 \times \dfrac{(1.095)^0}{(1.09)^1}\Big]+\Big[1000 \times \dfrac{(1.095)^1}{(1.09)^2}\Big]+...+\Big[1000 \times \dfrac{(1.095)^4}{(1.09)^5}\Big]\)

\(= 1000 \Big [ \dfrac{1}{1.09}+ \dfrac{1.095}{1.1881}+ \dfrac{1.199}{1.295}+\dfrac{1.313}{1.912}+\dfrac{1.438}{1.539}\Big]\)

\(= 1000 \Big[ 0.917 + 0.922 + 0.926 + 0.930 + 0.934\Big]\)

\(= 1000 \times 4.629\)

\(= \$4629\)

Thus, the present value of series A is = $4629

Present value of series A = Present value of series B

\(The \ value \ of\ X = \dfrac{Present \ value \ of \ series \ B }{\Big [\dfrac{1-(1+r)^{-n}}{r} \Big ]}\)

\(The \ value \ of\ X = \dfrac{4629 }{\Big [\dfrac{1-(1+0.09)^{-5}}{0.09} \Big ]}\)

\(The \ value \ of\ X =\dfrac{4629 \times 0.09}{1-0.6499}\)

\(The \ value \ of\ X =\dfrac{416.61}{0.3501}\)

\(The \ value \ of\ X =1189.97\)

Thus, the value of X = $1189.97

2.

The present value of series A:

\(=1000 \times \Big[\dfrac{(1.095)^0}{(1.08)^1}+ \dfrac{(1.095)^1}{(1.08)^2}+...+\dfrac{(1.095)^4}{(1.08)^5}\Big]\)

\(=1000 \Big [ \dfrac{1}{1.08}+ \dfrac{1.095}{1.1664}+\dfrac{1.199}{1.2597}+\dfrac{1.313}{1.3605}+\dfrac{1.438}{1.4693}\Big ]\)

\(= 1000\Big [ 0.9259 + 0.9839+0.952 + 0.965+0.979\Big ]\)

\(= 1000 \times 4.76059\)

\(\simeq \$4761\)

Thus, the present value of series A is = $4761

Present value of series B =\(Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ]\)

\(= 1189.97 \times \Big [ \dfrac{1 - (1+0.08)^{-5} }{0.08}\Big ]\)

\(= \dfrac{1189.97}{0.08} \times \Big ( 1 -0.6806\Big )\)

\(= 14874.625 \times 0.3194\)

\(= \$4750\)

Thus, the present value of series B = $4750

3.

The present value of series A:

\(=1000 \times \Big[\dfrac{(1.095)^0}{(1.05)^1}+ \dfrac{(1.095)^1}{(1.05)^2}+...+\dfrac{(1.095)^4}{(1.05)^5}\Big]\)

\(=1000 \Big [ \dfrac{1}{1.05}+ \dfrac{1.095}{1.1025}+\dfrac{1.199}{1.1576}+\dfrac{1.313}{1.2155}+\dfrac{1.438}{1.276}\Big ]\)

\(= 1000\Big [ 0.9524 + 0.9932+1.0357 + 1.08+1.127\Big ]\)

\(= 1000 \times 5.1883\)

\(\simeq \$5,188\)

Thus, the present value of series A = $5188

Present value of series B: =\(Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ]\)

\(= 1189.97 \times \Big [ \dfrac{1 - (1+0.05)^{-5} }{0.05}\Big ]\)

\(= \dfrac{1189.97}{0.05} \times( 0.2165)\)

\(= \$5152.57\)

Thus, the present value of series B = $5153

Answer:

0 < 5 < 54/7 < 52/3

Step-by-step explanation

0/21 < 105/21 < 162/21 < 364/21

Answer:

a

Step-by-step explanation:

By answering the presented question, we may conclude that Therefore, rectangle the width οf the οbject is 4.5 cm.

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. Since each οf its angles is equal, it is also referred to as an equiangular quadrilateral. The parallelogram also has the οption οf a straight angle. All four sides οf a square are the same length. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-shaped shape.

To find the width οf the οbject, we can use the formula for volume οf a rectangular solid which is:

Volume = Length x Width x Height

We have the volume οf the οbject as 220.5 cubic centimeters and the length and height are both given as 7 cm. Substituting these values into the formula, we get:

220.5 = 7 x Width x 7

Simplifying this equation, we get:

Width = 220.5 / (7 x 7)

Width = 4.5 cm

Therefore, the width οf the οbject is 4.5 cm.

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The transformation from f(x) to g(x) is (b) a rotation and a translation

From the question, we have the following parameters that can be used in our computation:

f(x) = x

g(x) = 1/9x - 2

First f(x) = x is transformed to f'(x) = 1/9x

This transformation is a rotation

Next, f'(x) = 1/9x is transformed to g(x) = 1/9x - 2

This transformation is a translation

This means that the transformation from f(x) to g(x) is a rotation and a translation

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Answer:

X=12

Step-by-step explanation:

Given that: X:24 = 6:X

Then:

\(\dfrac{X}{24}= \dfrac{6}{X}\\$Cross multiply\\X^2=24 \times 6\\X^2=144\\X=\pm\sqrt{144}\\X=\pm 12\)

Since we require the positive value of X

X=12.

The parametric equations for the tangent line to the given curve is x = 1-7t , y = 6t and z = 1-7t  .

In the question ,

it is given that ,

x = \(e^{-7t}\)cos(6t), y = \(e^{-7t}\)sin(6t), z = \(e^{-7t}\) ,

So , the parametric equation of the curve will be ,

r(t) = [  \(e^{-7t}\)cos(6t), \(e^{-7t}\)sin(6t), \(e^{-7t}\) ]

the point given as (1,0,1) implies that ,

\(e^{-7t}\)cos(6t) = 1 , \(e^{-7t}\) = 0 , sin(6t), \(e^{-7t}\) = 1 which implies that ⇒ t = 0 .

So , the point (1,0,1) is the point r(0) .

Now , differentiating x , y and z with respect to t ,

we get ,

r'(t) = [  \(-e^{-7t}\)[7cos(6t) + 6sin(6t)], \(e^{-7t}\)[6cos(6t) - 7sin(6t)], \(-7e^{-7t}\) ]

substituting , t = 0,

we get ,

r'(0) = [-7 , 6 , -7]

the equation of the tangent line passing through the point (1,0,1) and parallel to the tangent vector r'(0) is

r(t) = r(0) + tr'(0) = (1,0,1) + t(-7,6,-7)

So , r(t) = [ 1 - 7t , 6t , 1 - 7t ]

So , x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

Therefore , the required parametric equations are x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

The difference between the selling price and the cost price is the profit he earned.

Profit = Selling Price - Cost Price

Profit = $216 - $180

Profit = $36

To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :

Percentage Profit = (Profit : Cost Price) * 100%

Percentage Profit = ($36 : $180) * 100%

Percentage Profit = 0.2 * 100%

Percentage Profit = 20%

Therefore, his percentage profit is 20%.

Answer:

mm what the de une wtah boaim msua

Answer:

what i have lerned in this module

Binomial expansion is used to factor expressions that can be expressed as the power of the sum of two numbers.

The proof that (1.01)^12 exceeds (1.02)^6 by 0.0007 is\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The expressions are given as:

\(\mathbf{(1.01)^{12}\ and\ (1.02)^6}\)

A binomial expression is represented as:

\(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

Express 1.01 as 1 + 0.01

So, we have:

\(\mathbf{(1.01)^{12} = (1 + 0.01)^{12}}\)

Apply the above formula

\(\mathbf{(1.01)^{12} = ^{12}C_0 \times 1^{12 - 0} \times 0.01^0 + ......... .......... + ^{12}C_{12} \times 1^{12 - 12} \times 0.01^{12} }}\)

\(\mathbf{(1.01)^{12} = 1 \times 1 \times 1 + ......... .......... + 1 \times 1 \times 10^{-24} }}\)

\(\mathbf{(1.01)^{12} = 1 + ......... .......... + 10^{-24} }}\)

This gives

\(\mathbf{(1.01)^{12} = 1.1268\ (approximated)}\)

Similarly,

Express 1.02 as 1 + 0.02

So, we have:

\(\mathbf{(1.02)^6 = (1 + 0.02)^6}\)

Apply \(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

\(\mathbf{(1.02)^6 = ^6C_0 \times 1^{6 - 0} \times 0.02^0 + ^6C_1 \times 1^{6 - 1} \times 0.02^1 +.............. + ^6C_6 \times 1^{6 - 6} \times 0.02^6 }\)\(\mathbf{(1.02)^6 = 1 \times 1 \times 1 + 6 \times 1 \times 0.02 +.............. + 1 \times 1 \times 6.4 \times 10^{-11} }\)

\(\mathbf{(1.02)^6 = 1 + 0.12 +.............. + 6.4 \times 10^{-11} }\)

This gives

\(\mathbf{(1.02)^6 = 1.1261\ (approximated) }\)

Calculate the difference as follows:

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 1.1268 - 1.1261 }\)

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The above equation means that:

(1.01)^12 exceed the value of (1.02)^6 by 0.0007

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Answer:

C

Step-by-step explanation:

To solve this problem:

Distribute 6y (2/3x + 6k - 1/2)

What is 2/3x times 6y? Answer: +4xy

What is 6k times 6?y Answer: +36ky

What is -1/2 times 6y? Answer: -3y

Write the answers as an equation: \(4xy+36ky-3y\)

The answer is C

Hope this helps :)

Have a great day!

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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