4/3√3-2√2× 3/3√3+2√2


answer in paper

Answer:

i think it is 1,2,3

Step-by-step explanation:

sorry if im wrong :(

Answer:

ABC

Step-by-step explanation:

edge 2021

please correct me if wrong

Answer: 4032

Step-by-step explanation:

72x56=4032

Answer:

The product of 72 and 56 is 4,032.

Step-by-step explanation:

"Product" means multiplication, so you need to multiply 72 by 56. I'm soo sorry if that's wrong :(

The measures of the angles are

1. Angle TLN, MZQ and NLM

The angles TLN and NLM are supplementary angles

So, we have

TLN + NLM = 180

This gives

3x - 18 + y = 180

Also, we have

TLN + MZQ = 180

So, we have

3x - 18 + 5x + 14 = 180

Evaluate the like terms

8x -4 = 180

This gives

8x = 184

Divide

x = 23

Substitute x = 23 in 3x - 18 + y = 180

3 x 23 - 18 + y = 180

Evaluate

51 + y = 180

So, we have

y = 129

The above computations imply that:

TLN = 3 x 23- 18 = 51 degrees

NLM = y = 129 degrees

MZQ = 5 x 23 + 14 = 129 degrees

2. Angle JZQ and TLN

The above means that

JZQ = TLN

So, we have

9x + 9 = 8x + 19

Evaluate

x = 10

So, we have

JZQ = TLN = 9 * 10 + 9

JZQ = TLN = 99 degrees

3. Angle ZMR, LMO and LMR

The angles ZMR and LMO are congruent angles

So, we have

ZMR = LMO

This gives

x + 14 = 2x - 6

Evaluate

x = 20

Also, we have

LMR + LMO = 180

So, we have

y + 2x - 6 = 180

y + 2 x 10 - 6 = 180

y + 14 = 180

So, we have

y = 166

The above computations imply that:

LMO= ZMR = 20 + 14 = 34 degrees

LMR = y = 166 degrees

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Answer:  $874.50

Step-by-step explanation:

I = P x R x T

825 x 0.06 x1 = $49.50 interest

825.00 + 49.50 = $874.50 total cost for the phone after a year

486 ÷ 108

4.5 x 100

450 were there last year

Answer:

Step-by-step explanation:

Let the original number of students be x

Since the number of students increased by 8% we add 8% to 100% making it 108%

108% of the original number of students gave us 486

So we have

108% of x = 486

108 / 100 × x = 486

Multiply through by 100

108x = 48600

Divide both sides by 108

x = 450

So the number of students in the school last year was 450

Hope this helps you

Answer:

Step-by-step explanation:

7g = x miles

7 grade is x miles

8g = 7g + 15%

8 grad is 15% more than 7 grade

put what 7g is equal to into the 8g equation

8g = x + 15%

The expression represents the no. of miles an 8th grader

has to run 1.15x miles.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, 7th graders are required to run x number of miles, 8th graders are required to run 15% more than 7th graders.

∴ The expression represents the no. of miles an 8th grader has to run is,

= [ x + (15/100)x ] miles.

= x + 0.15x miles.

= 1.15x miles.

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Answer: B

Explanation:

Answer:

The answer is -9

Step-by-step explanation:

-15+6=-9

Answer:

4x and 3z are the only 2 terms in this esxpression.

Answer:

You are correct

Step-by-step explanation:

I hope this helps

The diagonal of a room measuring 5 ft and 12 ft along the walls should be 14.6 ft.

The diagonal of the room can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse would be the diagonal, the other two sides would be 5 ft and 12 ft.

Thus, the equation would be: a² + b² = c², with a = 5 ft, b = 12 ft, c = 14.6 ft.

The calculation for this equation is as follows:

5² + 12² = c²; 25 + 144 = c²; 169 = c²; √169 = c; c = 14.6 ft.

This means that the diagonal of a room measuring 5 ft and 12 ft along the walls is 14.6 ft.

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The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

Step-by-step explanation:

1

Answer: -i

Step-by-step explanation:

khan Academy

Answer:

$216/4=$54

Step-by-step explanation:

You would have to divide to find the quotient because you have to find the cost of one sweater, and the question gave the total price, when you divide the total, in this case is $216 by the 4 sweaters you should get $54 for one! To check you can do 54x4 and you will get $216!

The dimensions of the rectangular solid that will result in a solid with maximum volume are length = l = w = 1.5 cm, width = w = 1.5 cm, height = h = w = 1.5 cm.

A rectangular solid with a square base has a surface area of 13.5 cm^2. The dimensions that will result in a solid with maximum volume can be found using differentiation and optimization techniques. For a rectangular solid, the book can be given as

V = lwh

Given that it has a square base, then l = w, and the surface area can be given as:

S = 2lw + 2lh + 2wh

= 2l^2 + 4lh

= 13.5 cm^2

Substituting l = w, we have:

S = 2w^2 + 4wh

= 13.5 cm^2

Rearranging, we get:

wh = (13.5/4) - (w^2/2)

Differentiating the above equation concerning w and equating it to zero, we get:

dh/dw = 0

     0 = 0 - w

   w = 0

Therefore, the critical point occurs at w = 0. Using the second derivative test,

d^2h/dw^2 = -1

Therefore, the point obtained is a maximum point. To get the dimensions, we substitute the value of w into the surface area equation.

2w^2 + 4wh = 13.5 cm^2

2w^2 + 4w(h) = 13.5 cm^2

Since w = l,h = w

Substituting h = w into the equation, we have:

2w^2 + 4w(w) = 13.5 cm^2

6w^2 = 13.5 cm^2

w^2 = 2.25 cm^2

w = 1.5 cm

Therefore, the dimensions of the rectangular solid that will result in a solid with maximum volume are:

length = w = 1.5 cm, width = w = 1.5 cm, height = h = w = 1.5 cm.

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The number of people who finished the race is 18.

In the first half of the race, 2/5 of them dropped out. The remaining will be:

= 1 - 2/5 = 3/5

In the second half of the race, 5/8 of the remaining runners dropped out. This will be:

= 5/8 × 3/5

= 3/8

Therefore, this that finished the race will be:

= 80 - [(2/5 + 3/8) × 80]

= 80 - (31/40 × 80)

= 80 - 62

= 18

The concept of fractions was used

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When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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Graphs are visual representations of data that are used to display and interpret information in a clear and concise manner.

Line Graph: If you have data that shows the relationship between two continuous variables over time or some other ordered sequence, a line graph would be suitable. It is often used to display trends and patterns.

Bar Graph/Column Graph: If you have categorical or discrete data, such as comparing different groups or categories, a bar graph (or column graph, if vertical) is a good choice. It displays data as rectangular bars whose lengths represent the values.

Pie Chart: If you want to show the composition or proportion of different categories as parts of a whole, a pie chart can be used. It divides a circle into slices, with each slice representing a category and its size indicating its proportion.

Scatter Plot: If you want to analyze the relationship between two continuous variables and identify any potential correlation, a scatter plot is appropriate. It plots individual data points on a two-dimensional graph, with each point representing a unique combination of values.

Histogram: If you have data that is continuous and you want to visualize its distribution, a histogram is commonly used. It displays the data as bars, with the length of each bar representing the frequency or count of data falling within a specific interval (bin).

These are just a few examples of the types of graphs available. The choice ultimately depends on the specific characteristics and purpose of your data.

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The possible number of pizza special is (7 x 11 x 6 x 3 x 2 = 2772 variations.

Step-by-step explanation:

When adding or subtracting fractions, they must have a common denominator....20 is the easiest for these...this then becomes

b +  16/20  = 35/20     now subtract 16/20 from both sides of the equation

b = 35/20 - 16/20

b = (35-16)/20 =  19/20      

the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.

The dimensions of the rectangular prism is given by:

Height = h = 18 inches

Width = w = 14 inches

Length = l = 30 inches

Now, we have to calculate the surface area of the tank excluding the top of the tank to find out how much algae has been present there for the scientist to test.

So, the formula for surface area will become:

A = 2(w l + h l + h w) - l w ( as the top has to be excluded)

Now substituting the values of l, w and h, we get that:

A = 2 [ (14) (30) + (18) (30) + (18) (14) ] - (30) (14) inches²

A = 2 [ 420 + 540 + 252 ] - 420 inches²

A = 2 [ 1212 ] - 420 inches²

A = 2424 - 420 inches²

A = 2004 inches²

Therefore, we get that, the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.

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490909/200000 is the answer

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

\(y = 2 \: cos \: (\frac{1}{3} x)\)

option C is the right option.

Explanation:

General expression of a cosine function is:

y=A cos k X

where A is amplitude and 2 pi/k is its period.

In our case,

\( - y = 2 \: cos \: (\frac{1}{3} x) \:\)

has :

\(amplitude = 2 \\ period = 2\pi \times 3 = 6\pi\)

hence, the right answer is of option C

hope this helps...

Good luck on your assignment..

Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

Answer:

28 basketballs

Step-by-step explanation:

basketballs : soccer balls

7 : 6

6 units rep 24

1 unit rep 4

7 units rep 28

Answer:

The zero value of the function occurs at s = 4

Step-by-step explanation:

The given function for the amount of money, m, Jason has left after buying s number of sno-cones for his friend is m = 5 - 1.25·s

Therefore, we have generated from Microsoft Excel the following data table used to plot the points on the graph

Number of Sno-cones          \({}\)        Amount of money left

0                                    \({}\)                        5

1                                    \({}\)                         3.75

2                                    \({}\)                        2.5

3                                    \({}\)                        1.25

4                                    \({}\)                        0

Therefore, as seen from the above table, and from the attached graph, the zero value of the function occurs at the value where the amount of money left (y-coordinate value) is 0 which is at the value of s = 4.

Answer:

The answer is C. (-2, 7)

Good luck :)

Answer:

6

Step-by-step explanation:

Using the formula for velocity of money:

Velocity of money = (Price level x Real output) / Money supply

Plugging in the given values, we get:

Velocity of money = (120 x 300 billion) / 6 trillion

Velocity of money = 6

Therefore, the velocity of money is 6.

The correct answer is (a) 3000.

To find the expected number of times we get a 2 or a 3 when rolling the loaded die 6000 times, we need to calculate the probability of getting a 2 or a 3 and multiply it by the total number of rolls.

The probability of getting a 2 or a 3 is the sum of their respective probabilities:

P(2 or 3) = P(2) + P(3) = 0.2 + 0.3 = 0.5

So, the probability of getting a 2 or a 3 in a single roll is 0.5.

To find the expected number of times we get a 2 or a 3 in 6000 rolls, we multiply the probability by the total number of rolls:

Expected number = P(2 or 3) * Total number of rolls = 0.5 * 6000 = 3000

Therefore, the expected number of times we get a 2 or a 3 when rolling the loaded die 6000 times is 3000.

Hence, the correct answer is (a) 3000.

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Answer:

Heart sounds

Step-by-step explanation: