Consider a situation in which P(A) = , P(C) = , and P(A and B) = . What is P(B and C)?

Answer:

8×5= 40 is the answer .......

One pitcher serves 8 people, so to figure out how many 5 pitchers would serve you would do 8×5 which is 40. 5 pitchers would serve 40 people. I hope this helps!

The correct factorization of 33³ × 39 × 4¹¹ = 2²² × 3⁴ × 11³ × 13

Factorization is the collecting together of the common terms of an expression so as to have it in simpler form.

To find  the correct factorization of 33³ × 39 × 4¹¹, we write out each term in terms of its common factors.

so, we have that the factorization of the first term is 33³ = (3 × 11)³ = 3³ × 11³

Also, we have that the factorization of the second term is 39 = 3 × 13

Finally, we have that the factorization of the last term is 4¹¹ = (2²)¹¹ = 2²²

So, we have that 33³ × 39 × 4¹¹ = 3³ × 11³ × 3 × 13 × 2²²

= 3³ × 3 × 13 × 11³  × 2²²

= 2²² × 3⁴ × 11³ × 13  

So, the correct factorization is 2²² × 3⁴ × 11³ × 13

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By DeMoivre's theorem,

(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))

… = 81 (cos(20π/6) + i sin(20π/6))

… = 81 (cos(10π/3) + i sin(10π/3))

… = 81 (cos(-2π/3) + i sin(-2π/3))

… = 81 (cos(2π/3) - i sin(2π/3))

… = 81 (-1/2 + √3/2 i )

… = -81/2 + 81√3/2 i

Answer:Y, R, B, G

Step-by-step explanation:

Order matters since the ball is being replaced each time. This is all the possible combinations to take 2 balls with replacement, so you can look at the list and see that RR, RB, and RG are listed. The only other combination when choosing a red first would be to pick a yellow, so RY. This is the same pattern for the others also. Look at the list and see what combinations are already listed.

This is the correct answer;

Please leave a Thanks!

It helps!

Answer:

i think it 20 if im wrong im sorry

The height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

Please refer to the attached picture for the figure:

We have:

The area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

As we know the area of the rectangular face = lengthxwidth

From the figure:

The area of the rectangular face = hx5

h is the height of the rectangular prism.

45 = hx5

h = 45/5

h = 9 inches

Thus, the height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

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Answer:

8835.73ft^3

Step-by-step explanation:

First:

Find area of the base circle.

Diameter is 15, so radius is 7.5

Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)

next find the volume of the cylinder

height is 40 so volume = 56.25pi*40 = 2250pi

next find the volume of the dome at the top.

you know the radius is 7.5

Use volume of sphere formula below :

4 /3πr^3

=1767.15

alright now add the two bolded values

1767.15+2250pi

= 8835.73

hope this helps

Answer:

the answer is 0 you're welcome bye

Answer:

C. 2^8p=2^5p+15

:D

Answer:

a. x^4 - 12x^3 + 2x^2 - 2x + 4

Degree: 4

b. x^4 - 2x^2 - 2x - 4

Degree: 4

Step-by-step explanation:

For part a, all you are doing is adding the polynomials together. They already set up the boxes in standard form, so all you need to do is add each like term as I wrote out in the answer. The degree is then going to be the first exponent that you see once the polynomial is in standard form, which is 4.

For part b, you are now subtracting the polynomials. Again, it is set up for you in standard form. There is no x^3 terms because they cancel out, but you basically subtract each like term from another, and remember to distribute the subtraction sign (it acts as a -1) across the parenthesis. The degree is the first exponent you see, and that is 4.

Answer:

60cm

Step-by-step explanation:

given:

focal length (f) = 20cm

image height (v) = ½u

object height (u) = ?

(1÷v) + (1÷u) = (1÷20)

(1÷(½u)) + (1÷u) = (1÷20)

(2÷u) + (1÷u) = (1÷20)

(3÷u) = (1÷20)

u = 20 × 3

u = 60cm

Answer: It's not possible to accurately describe the function g(x) without more information about the equation or the graph. The equation provided is g(x)=√x + , which is incomplete, it does not have a value assigned for the "+" operator, it could be added to any number, for example, g(x)= √x + 1, or g(x)= √x+5, and so on.

Additionally, the statement that the function g(x) has a domain x² and range y ≥ , is not a valid mathematical notation or statement. The domain of a function is the set of all input values (x-values) for which the function is defined, it's usually a set of real numbers or interval, like [-∞,+∞], (a,b) or [a,b], for example.

And range is the set of all output values (y-values) of a function, it's also usually a set of real numbers or interval.

I would suggest if you can provide me with the complete function of g(x) and more detailed information about the graph. I can help you better understand its features and properties.

Step-by-step explanation:

Step-by-step explanation:

lcm = hcf × remaining expressions

7xy= 7 × x × y

6y² = 6 × y × y

here only y is common in both. so y is the hcf. now, without hcf, the remaining expressions are : 7x and 6y.

so LCM = hcf × remaining expressions

= y × 7x × 6y

= 42xy²

Answer:

11a) x=18

11b) 6x=108

11c) 4x=72

Step-by-step explanation:

11a) A line is equal to 180 degrees. Therefore, 6x and 4x have to add up to be 180.

6x+4x=180

10x=180

x=18

11b) We know what x is so we have to plug x into the expression. 6x=6(18)=108. 6x=108

11c) We know what x is so we have to plug x into the expression 4x=4(18)=72

4x=72.

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Answer:

-11

Step-by-step explanation:

m + n = - 2

4(m + n) = - 2(4) (multiplying both sides by 4)

4m + 4n = - 8

4m + 4n - 3 = - 8 - 3 (Subtracting 3 from both sides)

4m + 4n - 3 = - 11

Answer:

where is the circle graph

Answer:

Option (1)

Step-by-step explanation:

Given : m(arc BCD) = 148°

By the property,

Inscribed angle formed by an arc measures half the measure of the arc.

m(arc BCD) = 2(m∠BCD)

148° == 2(m∠BCD)

m(∠BCD) = 74°

Therefore, Option (1) will be the correct option.

9514 1404 393

Answer:

  A) The first inequality has a dashed boundary line with a slope of 4 and a y-intercept of -2. The shading is below the line. The second inequality has a solid boundary line with a slope of 5/2 and a y-intercept of -2. The shading is above the line. The solution space is a narrow wedge extending up and to the right of the y-intercepts at (0, -2) through the fourth quadrant into the first quadrant.

  B) Not in the solution space. The point does not satisfy y < 4(-2) -2 because -2 is not less than -10.

Step-by-step explanation:

Part A:

The boundary line of each inequality is in slope-intercept form, so can be drawn easily by finding points with the appropriate slope=rise/run from the common y-intercept at (0, -2).

The first inequality does not include the "or equal to" case, so the boundary line will be dashed. The relation of y and the inequality symbol is y < ( ), so the shading will be below the line, where y-values are less than those on the line.

The second inequality includes the "or equal to" case, so the boundary line is solid. The relation of y and the inequality symbol is y ≥ ( ), so the shading will be above the line, where y-values are greater than those on the line.

The two shaded areas overlap in a narrow wedge between lines with slope 2.5 and 4. The lower-left point of the wedge is the common y-intercept at (0, -2). It extends through the fourth quadrant into the first quadrant. This wedge is the solution area.

__

Part B:

Based on the above description, no part of the solution space is in the third quadrant, where the point (-2, -2) lies. The point is not in the solution space. It does not satisfy the first inequality:

  [tex]-2\nless(4)(-2)-2=-10[/tex]

Candles should burn one hour for every 1 inch in diameter of the actual candle size. For example, a candle that is 2 inches across should burn for 2 hours.

At what rate does then candle burn, in inches per hour?

Smaller candles with smaller wicks will burn at a rate of 7 to 9 hours per 28 g of wax used. Larger candles with larger wicks consume wax at a faster rate. The larger wicks can be expected to yield 5 to 7 hours per 28 g of wax used.

Estimate the total number of burns by dividing the total wax weight used in the candle (not the weight of the candle with container) by the amount of wax used from burning the candle. Finally, multiply the estimated total burns by the burn time hours. This will provide an estimate of the candle's burn time.

The two main factors for burning candles is wick size and type of wax. Wider or thicker wicks will burn much faster than thin ones, and the material the wick is made with can also make an impact. Different types of candle wax burn at different temperatures.

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Answer:

Step-by-step explanation:

w≥-2

or -2 ≤w≤5

Answer:

[tex]4i \sqrt{6} [/tex]

Answer:

1,440 inches^3

Step-by-step explanation:

First, remember the formula for volume is v = l x w x h

Next, sub in your values for your prism 6 x 15 x 16 = 1,440in^3

So, the final answer is 1,440 inches^3

Answer:

A. 103 degrees

B. 77 degrees

C. 60 Degrees

Step-by-step explanation:

A. Triangles' interior angles add up to 180, so if you already have 2 angles you just need to put them together, and subtract them from 180.

47+30=77

180-77=103

B. Lines also are 180, so 103-180=77

C. Interior angles of a triangle add up to 180, so 180/3 is how you get your answer.

Answer:

Step-by-step explanation:

$4.50 + $4.50(0.15) = $5.18

$2.25 + $2.25(0.15) = $2.59

$3.00 + $3.00(0.15) = $3.45

Answer:

6 units

Step-by-step explanation:

9x - 4 = 2 ( 5x - 5 )

9x - 4 = 10x - 10

10x - 10 = 9x - 4

10x - 9x = - 4 + 10

x = 6

Answer:

57 dollars and 66 cents will be subtracted from the depositeand get the answer of 157.66

Step-by-step explanation: