Distributive property
Do not solve
Rewrite each expression using distributive property.
6(1+5)=

Applying the triangle sum theorem, we have:

k = 45°

2k = 45°

The triangle sum theorem holds that the sum of the measures of all the interior angles of a triangle is equal to 180 degrees.

Therefore, applying the triangle sum theorem, we would have the following equation:

2k° + k° + 45° = 180°

Combine like terms

3k° + 45° = 180°

Subtract 45° from each side of the equation

3k° + 45° - 45° = 180° - 45°

3k° = 135°

Divide both sides by 3

3k/3 = 135/3

k = 45

Find the measure of the angles by plugging in the value of k

k° = 45°

2k° = 2(45) = 90°

Therefore, applying the triangle sum theorem, we have:

k = 45°

2k = 45°

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Answer:

270\(\sqrt{3}\) cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = \(\frac{s^2\sqrt{3} }{4}\) ← where s is the side length, here s = 6

A = \(\frac{6^2\sqrt{3} }{4}\) = 9\(\sqrt{3}\) cm² ← multiply by 6

area of base = 6 × 9\(\sqrt{3}\) = 54\(\sqrt{3}\) cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54\(\sqrt{3}\) × 5 = 270\(\sqrt{3}\) cm³

What do I need to find?

The difference in the number of bean plants that were 9in tall and the combination of 7in and 8in tall plants.

What information do I need to use?

Number of bean plants 9in tall: 12 plans

Number of bean plants 7in or 8in tall:

7in: 9plants

8in: 8plants.

7in or 8in: 17 plants

How will I use the information:

Subtract the number of bean plants 9in tall from the number of plants 7in or 8in tall:

Then, there are 5 9in tall plants less than the combination of 7in and 8in plants

Answer:

(11,2)

Step-by-step explanation:

Answer:

y=-1.4x+17.4

Step-by-step explanation:

Answer:

The three transformations used are -

Vertical shift

Phase shift

Period

Step-by-step explanation:

Given - Given the function, f(x) = 3 − sin(x + π)

To find - In the function, three transformations have been applied. Briefly describe the three transformations.

Proof -

Given that, The function is f(x) = 3 − sin(x + π)

We know the

The general form of sine function is -

y = Asin(Bx + C) + D

where

A is the Amplitude

The period is \(\frac{2\pi }{B}\)

Phase (Horizontal) shift is C

Vertical Shift id D

Here, The function is f(x) = 3 − sin(x + π)

By Comparing with General form of sin function, we get

-1 is the Amplitude

The period is 2\(\pi\)

Phase (Horizonal) shift is \(\pi\)

Vertical shift is 3

The three transformations used are -

Vertical shift

Phase shift

Period

Answer:

Step-by-step explanation:

9-3/5- -3=  slope= 6/8 or 3/4

Answer:

y = 14

Angle O is 41 degrees

Step-by-step explanation:

From the question, since we have an isosceles triangle, then the base angles are equal

This means that the angle at M is (4y-15) too

Mathematically, the sum of the angles in a triangle is 180 degrees

Thus;

7y + 4y-15 + 4y-15 = 180

15y-30 = 180

15y = 180+ 30

15y = 210

y = 210/15

y = 14

Angle O is 4y-15

= 4(14) -15 = 56-15 = 41 degrees

Answer:

Step-by-step explanation:

In this expression, you would have to use the PEMDAS method. First divide, so (5 divided by 8) + (2 divided by 9).

The answer you would get is: (0.625) + (0.222)

The final answer is: 0.847

Answer:

-5

Step-by-step explanation:

-3 + -1 = -4

-1/3 + -2/3 = -1

-1 + -4 = -5

Answer:

.

Step-by-step explanation:

-$+3-3-$-3+$+3-4-4-&$-+#($;*:$7$

Answer:

x = 4

Step-by-step explanation:

1. Write the equation

3/4x = 2x - 5

2. Get the variables on the same side

Let's subtract 2x! Now, since math is a veryyy jealous subject, you're going to do it on the other side too!

-1.25x = -5

3. Divide both sides by -1.25

x = 4

Thank you for the points!!!

The equation of the parabola is y = 2(x - 1)² + 3

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

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

Substitute the known values in the above equation, so, we have the following representation

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

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Answer:

\( \frac{1}{x} + \frac{2}{x} + 10 = \frac{1}{3} ) \times3 x \\ 3 + 6 +30x = x \\ 30x - x = - 9 \\ 29x = - 9 \\ x = - \frac{9}{29} \)

Answer:

i have the second part!

Step-by-step explanation:

the equation will have 2 valid solutions

Answer: 471.2

Step-by-step explanation:

Answer:

Answer = 471.24 square millimeters

Step-by-step explanation:

The one that will be the best design of the units of stem and leaf for a stem-and-leaf display is 1's for stem unit and 0.1's for leaf unit (option b).

In this case, we are given a set of sample data and asked to determine the best design for the units of stem and leaf. We are given four options: 100's for stem unit and 10's for leaf unit, 1's for stem unit and 0.1's for leaf unit, 10's for stem unit and 1's for leaf unit, and 1000's for stem unit and 100's for leaf unit.

Option b) uses 1's for the stem unit and 0.1's for the leaf unit. This design would work well if the data had a small range and many values, which is the case here. Using 1's for the stem unit and 0.1's for the leaf unit would result in a compact and easy-to-read display, with each stem having only a few leaves.

Therefore, option b) is the best design for the units of stem and leaf for this set of data.

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Complete Question:

Here is a set of sample data:

1009.85 1587.04 1984.87 2281.95 2337.80 2994.27 3554.64 3748.54 4487.25 4533.82 4559.06 4882.61 4951.68 4995.65 6428.17 6658.12 6789.12 7009.47

Which one will be the best design of the units of stem and leaf for a stem-and-leaf display?

a) 100's for stem unit and 10's for leaf unit

b) 1's for stem unit and 0.1's for leaf unit

c) 10's for stem unit and 1's for leaf unit

d) 1000's for stem unit and 100's for leaf unit

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

1. 8.75

2. 3.48

Step-by-step explanation:

hope this helps :3

Answer:

1. B $8.75

2. D Between 3 and 4 cups/ 4.11

Answer:

1/243 or 0.00411522…

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

7x-2 = 7x-2

Step-by-step explanation:

When an adverb requires emphasis or wouldn't fit anyplace else in the sentence, an infinitive should be split. Split infinitive might occasionally help to clarify a sentence's meaning.

In the given question we have to explain, when we allow a split infinitive and why.

When an adverb requires emphasis or wouldn't fit anyplace else in the sentence, an infinitive should be split.

A split infinitive might occasionally help to clarify a sentence's meaning. It is not apparent if the requesting was done softly or whether the leaving should be done quietly in the sentences "I requested her gently to leave" or "I asked her to leave quietly."

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a. The bank can initially lend out $15.00.

b. The money in the economy changes by $20.00.

c. The money multiplier is 4.

d. Eventually, $80.00 will be created by the banking system from Jon's $20.00.

Let us analyze each section separately:

a. To calculate the amount of money the bank can initially lend out, we need to determine the bank's reserves.

Given that the bank keeps 25% of its money in reserves, we can find the reserves by multiplying the deposit amount by 0.25.

In this case, the deposit amount is $20.00, so the reserves would be $20.00 * 0.25 = $5.00. The remaining amount, $20.00 - $5.00 = $15.00, is the money that the bank can initially lend out.

b. When Jon deposits the $20.00 bill into the bank, the money in the economy remains unchanged because the physical currency is converted into a bank deposit. Therefore, there is no change in the total money supply in the economy.

c. The money multiplier determines the overall increase in the money supply as a result of fractional reserve banking. In this case, the reserve requirement is 25%, which means that the bank can lend out 75% of the deposited amount.

The formula to calculate the money multiplier is 1 / reserve requirement. Substituting the value, we get 1 / 0.25 = 4.

Therefore, the money multiplier is 4.

d. To calculate the amount of money created by the banking system, we multiply the initial deposit by the money multiplier. In this case, Jon's initial deposit is $20.00, and the money multiplier is 4.

So, $20.00 * 4 = $80.00 will be created by the banking system from Jon's $20.00 deposit.

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Answer:

The name of the point is the circumcenter of the triangle

Step-by-step explanation:

The pool will be built at a point which is equidistant from the three points.

This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.

The name of this point is called the CIRCUMCENTER of the triangle

The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case

Answer:

A

Step-by-step explanation:

Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.

One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.

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