Calculate the volume of the cone with the hemisphere scooped out of the base. Note: 20 cm is the slant height

Answer:

4/663.

Step-by-step explanation:

There are  4 aces and 4 2's in a pack of cards.

Prob(First drawing an Ace) = 4/52 = 1/13.

After drawing this card there are now 51 cards left, so:

Prob(Next drawing a 2) = 4/51.

Required probability

= 1/13 * 4/51

=  4/663

Answer:

First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Since we cannot Reduce, There is your answer!

[tex]\frac{4}{663}[/tex]

∫Maybe·Kuro∫

Answer: 9/2π

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

Based on the amounts Julia paid and the percentage rates, the missing amounts are:

Julia's social security taxes were:

= 6.2% x 2,000

= $124.

Medicare amount:

= 1.45% x 2,000

= $29

Federal income tax:

= 260 / 2,000 x 100%

= 13%

State income tax:

= 120 / 2,000 x 100%

= 6%

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The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0

An equation is an expression that shows the relationship between two or more numbers and variables.

The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:

f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0

f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0

f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0

The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0

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Answer:

10 x 10^7

Step-by-step explanation:

When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:

2.5 x 4 = 10

4 + 3 = 7

10 x 10^7

Answer:

Answer is 41 ft

Step-by-step explanation:

From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h

Using Pythagora's theorem we have,

[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]

Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.

[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]

Therefore the perimeter of the triangle is 41 ft.

Step-by-step explanation:

x = 4

y = -2

z = 3

= 6x + 4y - z

= 6.4 + 4.-2 - 3

= 24 - 8 - 3

= 13

Answer:

306=192-361xj.

Hope this helps!

Answer:

B

Step-by-step explanation:

B: $303.75

I hope this helps you and I hope you do well.

Answer:

The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1.  So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.

Answer:

I'm Pretty sure

Step-by-step explanation:

Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...

Step 2: Calculate quartile differences. ...

Step 3: Create a stacked column chart. ...

Step 4: Convert the stacked column chart to the box plot style.

Answer:

Yes, your choices are correct ...First and last points are true:)

Work Shown:

16 > i - 4

16+4 > i-4+4

20 > i

i < 20

In the second step, I added 4 to both sides to undo the -4

In the last step, I swapped both sides and I flipped the inequality sign.

If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.

Answer:

16>i-4

20>i

Step-by-step explanation:

All you have to do is reverse operation and add 4 to each side

Answer:

It's 30.72

Step-by-step explanation:

Take your total and times it by the percentage (20 in this case) and then divide by 100.

total: 25.60$

tip: 20% of total

25.60 * 20 = 512

512/100 = 5.12

25.60 + 5.12 = 30.72

Answer:

3=6

63=x

x×3 =63×3

x×3= 189

3 3

x=63.

Answer:

0.0000614

Step-by-step explanation:

Since it’s a -5 it’s 5 places back

Hope this helps! ;-)

The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

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[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]

[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]

Answer:

21

Step-by-step explanation:

Answer: A. 21%

No equation

Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

Both of those values are in scientific notation

Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.

Both 9.725 and 9.7250 are inside the inequality mentioned above.

Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.

---------------

If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.

We go from 9.725 to 9,725,000 which is about 9.7 million

In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]

As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.

Answer:

See below

Step-by-step explanation:

Use the roots given to make this :

(x+3) (x-1/2)  = 0

   you can do the multiplication (if required) to get

x^2 + 2.5x - 1.5 = 0      now you can multiply by 2 to get rid of the decimals

2x^2 + 5x - 3 = 0

   All three are correct......pick the format you want ....

The key aspects of the function are

The function is given as:

f(x) = -(x + 1)^2

From the question, we have:

Vertex = (-1, 0)

Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.

It means that the function is always negative.

Also, the domain of the function is all sets of real number, because it is an exponential function.

The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0

The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity

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Answer:

The vertex is the maximum value

The function is positive for no values of x

The function is decreasing when x > –1

The domain of the function is all real numbers

The range of the function is all numbers less than or equal to 0

Hope this helped!

Answer:

A) x=5

The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Step-by-step explanation:

Answer:

She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Step-by-step explanation:

26/2 = 13. There's enough flour to make the recipe 13 times over, however,

she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.

26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.

She can make 12 batches of peanut butter cookies alone. Or she could make 8 batches of chocolate chip cookies alone. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter or 12 chocolate chip.

to make 4 batches of PB:

[tex](4)\frac{3}{4}=3[/tex] cups of butter needed, and 4(2) = 8 cups flour needed.

so now she'd have 6 cups butter and 18 cups flour leftover.

This means, to make 6 batches CC:

3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Answer:

$1.50

Step-by-step explanation:

you only need to do $3.00/2 = $1.50

Answer:

$1.50

Step-by-step explanation:

3 divided by 2 = 1.5

Answer:

1/2 - 1/8= 4/8 - 1/8= 3/8

Step-by-step explanation:

hope this helps

The choice that could represent the surface area of a pyramid is  75.6 feet squared

The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.

For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:

TSA = area of 4 triangles + area of the base

Hence the choice that could represent the surface area of a pyramid is  75.6 feet squared

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Answer:

C/3

Step-by-step explanation:

[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]

[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]