KLM is a triangle with K=30\deg . If KL=18 units, and tan(M)=(1)/(2), then find the length of KM. Hint: Draw a picture and include the altitude from the angle L to the side KM.

6.2 × 10⁴ in decimal notation is simply 62,000.

In scientific notation, a number is expressed as the product of a decimal number between 1 and 10 and a power of 10.

Now, let's talk about converting a number in scientific notation to decimal notation. Decimal notation simply means expressing a number in the standard way, using digits and a decimal point. To convert a number in scientific notation to decimal notation, we just need to evaluate the product of the decimal number and the power of 10.

In the case of 6.2 × 10⁴, the decimal number is 6.2, and the power of 10 is 4. To evaluate the product, we simply move the decimal point in 6.2 four places to the right, since the power of 10 is positive. This gives us:

6.2 × 10⁴ = 62,000

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Complete Question:

Convert to decimal notation: 6.2 × 10⁴

it seems that it starts from 4 then every time it gets multiplied by 3 so F(n)=4*3^n-1

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

Answer:

it's c the slop is 3 your welcome

Answer:

7sqrt6 - 5sqrt7 (D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

25*8=200 soooooooooo 200=22x divide 22 on both sides and you get x=100/11

Answer:

25×8=200

200÷22x

x=9,09

therefore x=9,1

Answer: 14 cupcakes

Step-by-step explanation:

sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.

for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.

for French readers:

le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.

hopefully this helped! :D

Answer:

one cupcake= 1/2 cup of sugar

Total sugar availability: 7 and 1/3 or 7.33

Now go ahead and divide 7.33/.50

Notice that for every cup of sugar you can make exactly 2 cupcakes

Therefore you can make a total or 7*2=14 cupcakes

You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake

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Answer:

D. 189

Step-by-step explanation:

z(7) = 7 + 5

z(7) = 12

w(12) = 12^2 + 4(12) - 3

w(12) = 144 + 48 - 3

w(12) = 144 + 45

w(12) = 189

w(z(7)) = 189

In order to solve for y, we need to do the inverse operation (basically the opposite) of multiplication, which is division. So therefore, we divide both sides by 18 in order to get \(y = 7\).

We plug in and check.

\(18 * 7 = 126\)

which is correct.

Answer:

58

Step-by-step explanation:

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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well, Mai is 21 today and when she's 25 is 4 years from now, so

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000\left(1+\frac{0.10}{1}\right)^{1\cdot 4}\implies A=2000(1.1)^4\implies A=2928.2\)

The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.

What is a sphere?

The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.

Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.

The radius of a sphere is the half of its diameter.

The radius of the bottom ball is 3/2 feet =1.5 feet

The radius of the middle ball is 2/2 feet = 1 feet.

The radius of the top ball is 1/2 feet = 0.5 feet.

The volume of a sphere is 4/3 × ∏r³.

The volume of  bottom ball is  4/3 × ∏ × (1.5)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (1)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (0.5)³  cubic foot.

The total amount of snow is

4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³

=  4/3 × ∏ [1.5³  +1³  + 0.5³ ]

=  4/3 × ∏× 4.5

= 18.84

≈ 19 cubic foot

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it seems like E is the one that looks simlar

if not im

so sorry

Answer:

Step-by-step explanation:

Do you have a picture of the problem?

Answer:

The answer is: 720

Step-by-step explanation:

V=B x H

in this case you have 2 heights. So your gonna multiply 6 x 8.

Which makes 48. Then your gonna multiply 48 x 15. Which equals to 720.

The ratio of students that got A to students that got B is an illustration of comparison

The number of students that got A in the test is 8y/x

The ratio of the student is given as:

A : B = y : x

8 students got B in their final test.

So, the ratio becomes

A : 8 = y : x

Express the ratio as a fraction

\(\frac A8 = \frac yx\)

Multiply both sides by 8

\(A = \frac{8y}x\)

Hence, the number of students that got A in the test is 8y/x

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Answer:

35

Step-by-step explanation:

210 - 175 = 35

175 - 140 = 35

140 - 105 = 35

105 - 70 = 35

I hope this helps!

Answer:

x = 4

Step-by-step explanation:

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that  

2x - 11 = -3..........Then add 11 to both sides such that  

2x = 8...........Then divide 2 such that  

x = 4

Answer:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

Step-by-step explanation:

Apply the slope formula to the 2 points to get the slope, which is the y-axis distance divided by the x-axis distance:

\(slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\slope=\frac{2.5-1.5}{5-3}\\slope = \frac{1}{2}\)

The slope suggests that Aaron mows 0.5 acres per hour, since the x-axis represents time and the y-axis represents acres. The third option is the correct answer.

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

"The median and the 50th percentile rank score will always have the same value". The statement is false, so the correct option is b.

The median and the 50th percentile rank score do not always have the same value. While they are related concepts, they are not identical.

The median is the middle value in a dataset when it is arranged in ascending or descending order. It divides the dataset into two equal halves, where 50% of the data points are below the median and 50% are above it. It is a specific value within the dataset.

On the other hand, the 50th percentile rank score represents the value below which 50% of the data falls. It is a measure of relative position within the dataset. The 50th percentile rank score can correspond to a value that is not necessarily the same as the median.

In cases where the dataset has repeated values, the 50th percentile rank score could refer to a value that lies between two data points, rather than an actual data point.

Therefore, the median and the 50th percentile rank score are not always equal, making the statement false.

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The correct option is: C) 1 ≤ f(x) ≤ 4. The full range of the function \( f(x) = x^2 + 1 \), where \( -2 \leq x \leq 1 \), is \( 5 \leq f(x) \leq 2 \).

To find the full range of the function \( f(x) = x^2 + 1 \), where \( -2 \leq x \leq 1 \), we need to determine the set of all possible values that \( f(x) \) can take.

Let's start by analyzing the function \( f(x) = x^2 + 1 \). Since \( x^2 \) is always non-negative, the minimum value of \( f(x) \) occurs when \( x^2 \) is minimized, which happens at \( x = -2 \) within the given range. Plugging \( x = -2 \) into the function, we have:

\( f(-2) = (-2)^2 + 1 = 4 + 1 = 5 \)

Therefore, the minimum value of \( f(x) \) within the given range is 5.

Next, we need to find the maximum value of \( f(x) \). Since \( x^2 \) increases as \( x \) moves away from 0, the maximum value of \( f(x) \) occurs when \( x^2 \) is maximized, which happens at \( x = 1 \) within the given range. Plugging \( x = 1 \) into the function, we have:

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

Therefore, the maximum value of \( f(x) \) within the given range is 2.

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The percent increase of students who went on the annual school trip to Florida this year is 87.5%.

To calculate the percent increase of students who went on the trip, we need to first find the difference between the number of students who went on the trip this year and the number of students who went on the trip last year.

The difference is calculated by subtracting the number of students who went on the trip last year from the number of students who went on the trip this year:
225 - 120 = 105
The increase is 105 students.
To find the percent increase, we need to divide the increase by the original number of students who went on the trip last year (120) and multiply by 100 to get the percentage:
(105/120) x 100 = 87.5%
Therefore, the percent increase of students who went on the annual school trip to Florida this year is 87.5%. This means that there was an 87.5% increase in the number of students who went on the trip this year compared to last year.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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The total amount of space taken up on the sign by the letters in Hannah's name is between 3 and 4 whole numbers.

If each letter takes up 5/8 inch of space, then the total amount of space taken up by all 6 letters in Hannah's name is:

6 letters × 5/8 inch per letter = 30/8 inches = 3 6/8 inches = 3 3/4 inches

To find the range of whole numbers between which 3 3/4 inches falls, we can convert 3 3/4 to an improper fraction:

3 3/4 = (4 × 3 + 3)/4 = 15/4

Now we can find the two whole numbers that 15/4 is between by dividing 15 by 4:

15 ÷ 4 = 3 with a remainder of 3

So 15/4 is between 3 and 4, specifically:

3 < 15/4 < 4

Therefore, the total amount of space taken up on the sign by the letters in Hannah's name is between 3 and 4 whole numbers.

A fraction is a mathematical concept that represents a part of a whole. It is typically written in the form of one number (the numerator) over another number (the denominator), separated by a horizontal line. For example, 3/4 is a fraction where the numerator is 3 and the denominator is 4.

The numerator represents how many parts of the whole we are referring to, and the denominator represents the total number of equal parts that make up the whole. So, 3/4 represents 3 out of 4 equal parts of a whole. Fractions are used to represent quantities that are not whole numbers, such as 1/2, 3/5, and 7/8.

Fractions are used in many different areas of math and everyday life, such as in measurement, cooking, and finance. They are also an important concept in understanding other mathematical ideas like decimals and percentages.

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Answer:

A

Step-by-step explanation:

BD = 12

BC = 12/2 => 6

using Pythagoras theorem

AB² = AC² + BC²

AB² = 3² + 6²

AB² = 9 + 36

AB² = 45

AB = √45 (A)

Answer:

1 1/6

Step-by-step explanation:

because if you do 7÷6 that will be your answer

Answer:

3 = 14 and 4 = 8

Step-by-step explanation:

The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.

Answer:

B (-11, 7) C (11, 7)

Step-by-step explanation: