BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5.What is the area of the semicircle?

9514 1404 393

Answer:

  y = -1/12x² +2

Step-by-step explanation:

For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...

  [tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]

Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...

  [tex]\boxed{y=-\dfrac{1}{12}x^2+2}[/tex]

Answer:

[see below]

Step-by-step explanation:

The domain are all the x-values of the relation or function, while the range are all the y-values of the relation.

The x-values of the relation are -6 and 7.

The y-values of the relation are -1, 2, and 9.

Therefore:

Domain: {-6, 7}

Range: {-1, 2, 9}

Hope this helps you.

Answer: 36

Step-by-step explanation:

This is a geometric progression. The formula for a geometric progression is given as:

= ar^n-1

where

a = first term = 16

r = common ratio = 24/16 = 1.5

n = 3

Therefore, the 3rd term will be:

= ar^n-1

= 16 × 1.5^3-1

= 16 × 1.5²

= 36

Therefore, the third term of the progression is 36.

Step-by-step explanation:

I think D

The amount of syrup she needs is 3/4 cups of syrup. Option A

A fraction can be described as the part of a whole variable, element or number.

The several types of fractions are;

Also, proportion can be defined as a mathematical comparison between two numbers

From the information given, we have that;

6 cups of soap = 1 /4 cup of syrup

Then 18 cups of soap = x cups of syrup

cross multiply, we get;

6x = 18(1/4)

multiply the values

6x = 18/ 4

Divide both sides by the coefficient of x , we get;

x = 18/ 4 × 1/6

x = 3/ 4 cup of syrup

Hence, the value is 3/4

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The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.

To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.

According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.

Note: This question is incomplete because there is some information missing. Here is the complete information:

image attached

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Answer: 9x - 2 >= 19.

Step-by-step explanation:

The sentence can be translated into the inequality 9x - 2 >= 19.

Here is a step-by-step breakdown:

"Two subtracted from the product of 9 and a number" can be written as 9x - 2.

"Is greater than or equal to 19" can be written as >= 19.

Putting these two pieces together, we get the inequality: 9x - 2 >= 19.

Answer:

about 64 cents

Step-by-step explanation:

Answer:

  $202.30

Step-by-step explanation:

You want to know the value of a 20% tip on a bill of $1011.50.

The tip amount can be found by multiplying the bill amount by the tip percentage:

  20% · $1011.50 = $202.30

Lucas tipped the server $202.30.

__

Additional comment

You know that 10% of the amount can be found by moving the decimal point one place: $101.15.

20% of the amount will be double this value: $202.30. You can do this math mentally.

Answer:

[tex]x^{4}[/tex] + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= [tex]x^{4}[/tex] + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= [tex]x^{4}[/tex] + 8x³ + 12x² - 16x + 4

Answer:

In the form of y=mx+b:

y = -5/6x-5

Step-by-step explanation:

I'm not that good at explaining, but I'll try:

Slope intercept is y=mx+b, M is the slope of the line which is rise over run, the rise is -5 (distance traveled along y-axis) and the run is 6 (distance traveled along x-axis) found from two points: (-6, 0) and (0, -5). Using this data -5/6 can be plugged in for M, and b is the y variable at (0, _) in this case the y variable is -5. The final answer after plugging everything in is y=-5/6x-5, I hope this wasn't too confusing.

Answer:

10

Step-by-step explanation:

in total there are 10/4 mixture so if one pancake is 1/4 10 pancakes can be made

Answer:

2

Step-by-step explanation:

Mark me the brainliest please

The weight of the bag is 1.5 standard deviations down the mean weight.

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

Mean weight (μ) = 4.10 ounces

Standard deviation (σ) = 0.10

Target weight (x) = 3.95

We know,

Z = ( x - μ ) / σ

   = (3.95 - 4.10) / 0.10

   = -1.5

Hence, we can conclude, the target weight is 1.5 standard deviations down.

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We can conclude the proof of inequality : 3 (m + n)! ≥ m! + n! below.

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Mathematically, we can write -

[tex]$n! = n \times (n-1) \times \dots \times 1[/tex]

Given is the inequality -

3 (m + n)! ≥ m! + n!

We have -

3 (m + n)!

3 {(m + n)(m + n - 1)(m + n - 2) ....... (3)(2)(1)}

3 {m² + mn - m + nm + n² - n}(m + n + 2) ...... (3)(2)(1)

3 {m² + n² - m - n + 2mn}(m + n + 2) ........ (3)(2)(1)

3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1)

Now, for (m! + n!) --

(m! + n!) = m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)

It can be seen that -

3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1) ≥

m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)

Hence, it can be seen that -

3 (m + n)! ≥ m! + n!

Therefore, we can conclude that 3 (m + n)! ≥ m! + n!.

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Answer:

the answer is the third equation

hope it helps

Answer:

Last option is the correct answer

[tex] (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]

Step-by-step explanation:

[tex] \sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0 \\ \sqrt[3]{2x - 6} = - \sqrt[3]{2x + 6}\\ cubing \: both \: sides\\ (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]

Answer:1696.46

Step-by-step explanation:

V = π r 2 h

Answer:

It would be in this order:

Types of Quads:

Rectangle

Square

Rhombus

Trapezoid

Type of Triangles:

Equaliteral

Isoceles

Scalene

Step-by-step explanation:

Hope it helps

Answer:

238.9

Step-by-step explanation:

check the above attachment to verify the answer.

Answer:

Dilation if not then translation

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

6n=6×n

6×7=42

hope this helps,have a great day!!

~Pinky~

Answer:

$30.60

Step-by-step explanation:

Please write that as 70%.

The total is the original price plus 70% of that price, or

                             100% plus 70%, or

                                  170%

Change 170% to 1.70 and multiply the original price by that:

Total price including markup:  1.70($18) = $30.60

Answer:

Slope: -1/2

Step-by-step explanation:

You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.

Now, after we added 1/2x to each side, we get this equation:

-y = 1/2x + 3/4

We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:

y = -1/2x - 3/4

Therefore, the slope for this equation is -1/2.

Hope this helped! :D

Answer:

y < -5

Step-by-step explanation:

The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!

-2y > 10

y < -5

Answer:

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

24 inches are 2 feet

3/4 x 32 = 24

24 inches = 2 feet